Latest TCS Aptitude Question SOLUTION: how many triangles witha perimeter of 15 cms can be constructed and have integral measurements of sides?

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how many triangles witha perimeter of 15 cms can be constructed and have integral measurements of sides?

Asked In TCS PRIYA NAMDEO (10 years ago)

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Mahesh  (10 years ago)

As the rule of triangle says any side cannot be more than the sum of the other two sides.

The maximum value of the longest(or one of longest) sides is 7.

Longest side Other sides

7 (7,1) (6,2) (5,3) (4,4)

6 (6,3) (5,4)

5 (5,5)

Total 7 triangles

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payaljain  (10 years ago)

ans is 7
(7,7,1)(7,6,2)(7,5,3)(7,4,4)(6,6,3)(6,5,4)(5,5,5)
hint:-possible nos having sum 15 and which can make a triangle

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neha jain  (10 years ago)

wht is meaning of integral

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avnish pandey  (10 years ago)

The sides will be 2.5,5 & 7.5 as they r integral multiples. Max traingles wil be 1.

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Mahesh  (10 years ago)

I feel,by mentioning integral values, the question is asking for integer values and as they are the sides of a triangle, the order of the sides is not important.

I will stick to my answer of 7 possible ways.

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avnish pandey  (10 years ago)

Integral means the sides r in multiples of integral values.i.e.if ine side is x,other will be 2x & next will be 3x. So,x+2x+3x=15
=>x=2.5 cm.
2x=5cm
3x=7.5 cm
The answer will be 1 or 3! If ol d triangkes having same side r tretrd differntly!

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mehul  (10 years ago)

i think here integral means that the sides will not be in decimal form, they will take only integer value
hence ans is 7

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